On the operator equation \(AXB - XD = E\)

DOI10.1134/S1995080209030056zbMath1254.47015OpenAlexW2017301281MaRDI QIDQ639431

Juan-Miguel Gracia

Publication date: 21 September 2011

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080209030056

zbMATH Keywords

operator equationgeneralized commutatorPutnam-Fuglede's theorem

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62)

Related Items

Unnamed Item, Solvability of \(AXB - CXD = E\) in the operators algebra \(B(H)\), Solvability of Sylvester operator equation with bounded subnormal operators in Hilbert spaces

Cites Work

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• Commutator Approximants
• On the matrix equations $AX - XB = C$ and $AX - YB = C$
• Finite Operators